Symplectic geometry of entanglement

Details Symplectic geometry of entanglement Symplectic geometry of entanglement

2010-07-12

arxiv.org/abs/1007.1844v2

Physics

Mathematical Physics

LaTex, 31 pages, typos corrected

Scientific paper

We present a description of entanglement in composite quantum systems in terms of symplectic geometry. We provide a symplectic characterization of sets of equally entangled states as orbits of group actions in the space of states. In particular, using Kostant-Sternberg theorem, we show that separable states form a unique Kaehler orbit, whereas orbits of entanglement states are characterized by different degrees of degeneracy of the canonical symplectic form on the complex projective space. The degree of degeneracy may be thus used as a new geometric measure of entanglement and we show how to calculate it for various multiparticle systems providing also simple criteria of separability. The presented method is general and can be applied also under different additional symmetry conditions stemming, eg. from the indistinguishability of particles.

Affiliated with

Also associated with

No associations

Rating

Symplectic geometry of entanglement does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Symplectic geometry of entanglement, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Symplectic geometry of entanglement will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-695652